Although I don't have a wiring schematic for your 1986 Coachman Crusader travel trailer, I can help you determine the color coding based on function. Most of the time, the running light function is brown in color, but that isn't always the case. The best way to check is to use a circuit tester like # PTW2993 to test the function at your vehicle side connection first. I've attached an article to assist with the location.
If that isn't working, then there is often a parking light fuse... view full answer...
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